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arXiv · 1507.06250

Hyperbolic polygonal billiards with finitely many ergodic SRB measures

Gianluigi Del Magno·João Lopes Dias·Pedro Duarte·José Pedro Gaivão
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Abstract

We study polygonal billiards with reflection laws contracting the reflected angle towards the normal. It is shown that if a polygon does not have parallel sides facing each other, then the corresponding billiard map has finitely many ergodic SRB measures whose basins cover a set of full Lebesgue measure.

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Gianluigi Del Magno, João Lopes Dias, Pedro Duarte, José Pedro Gaivão. 2015-07-22. Hyperbolic polygonal billiards with finitely many ergodic SRB measures. https://arxiv.org/abs/1507.06250

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